ПРИМЕНЕНИЕ СХЕМЫ ГОРНЕРА К МАТЕМАТИЧЕСКОМУ АНАЛИЗУ

Аннотация

Barcha asosiy adabiyotlarda Gorner Qabul qilingan: 03.04.2024 sxemasi x c k phad uchun berilgan. Qayta qabul : 10.04.2024 K phadlarning ildizlarini topish juda muhim Saytda mavjud : 1.05.2024 ahamiyatga ega. Chunki k plab matematik masalalarni yechish k phadning ildizlarini rganish masalasiga olib keladi. Albatta, Gorner sxemasi bunda muhim ahamiyatga ega. Muallif (lar) Keltirilgan Gorner sxemasini ax2 bx c M.SH.Qaxxorova kvadrat uchhad uchun sodda k rinishga keltirilishi k plab masalalarni yechishda, teorema, lemma, xossalar va natijalarni isbotlashda xizmat qiladi. Shuningdek undagi Muallif bilan aloqa https://orcid.org/0009-0004-3493-6680 umumlashtirishlar Gorner sxemasini q llash, umumlashtirish b yicha ilmiy-amaliy xulosalar muslimaxonqaxxorova@gmail.com chiqarish imkoniyatini beradi. Ushbu maqolada kvadrat uchhad uchun Gorner sxemasi keltirilgan b lib, undan foydalanib k phadlarga va sodda kasrlarga Muallif. M.SH.Qaxxorova ajratishga doir masalalar yechib k rsatilgan. Bundan tashqari ratsional kasrni sodda kasrga UNIVERSAL xalqaro ilmiy jurnal ajratishda, matematik analizda ratsional kasr k rinishdagi aniqmas integrallarni hisoblashni osonlashtirish maqsadida foydalanish https://universaljurnal.uz/index.php/jurnal mumkinligi k rsatilgan. Maxfiylik bayonoti Materialni istalgan vosita yoki formatda nusxalash va Kalit s zlar. Gorner sxemasi, aniqmas qayta tarqatish hamda maqoladan integral, ratsional kasr, ratsional funksiyalar, foydalanish mumkin. integrallash. Universal International Scientific Journal 2024, 1(1) Annotation. birhad uchun berilgan, unga doir amaliy In all the main literature, the Gorner tatbiqlar rganilgan. Lekin Gorner scheme is given for the polynomial. Finding the sxemasini ax2 bx c kvadrat uchhad roots of polynomials is very important. Because uchun deyarli rganilmagan. solving many mathematical problems leads to the Yuqoridagi holatlardan kelib question of studying the roots of a polynomial. Of chiqqan holda aytish mumkinki, Gorner course, the Gorner scheme is important in this. sxemasini ax2 bx c kvadrat uchhad Making the quoted Gorner scheme appear simple uchun sodda k rinishga keltirish, uning for a square uchhad serves in solving many tatbiqlarini ilmiy tahlil etish, matematika problems, proving theorem, lemma, properties, fani oldida turgan dolzarb muammolardan and results. Also, the information contained in it, biridir. conclusions, theoretical generalizations provide the opportunity to draw scientific and practical ADABIYOTLAR TAHLILI. conclusions on the application of the Gorner scheme, generalization. This article presents the Adabiyotlar tahlili shuni k rsatdiki, Gorner scheme for a square uchhad, using which barcha asosiy adabiyotlarda Gorner sxemasi the problems of decomposing into polynomials x c k phad uchun berilgan. and simple fractions are solved. Moreover, when Ko`phadlarning ildizlarini topish juda dividing a rational fraction by a simple fraction, it muhim ahamiyatga ega. Chunki ko`plab is seen that in mathematical analysis the rational matematik masalalarni yechish ko`phadning fraction can be used with the aim of facilitating ildizlarini o`rganish masalasiga olib keladi. the calculation of indeterminate integrals in the Albatta, Gorner sxemasi bunda muhim representation. ahamiyatga ega. Gorner sxemasi va uning Keywords. tatbiqlariga oid ko`plab olimlar ish olib Gorner's scheme, indeterminate integral, borgan. Jumladan, Ayupov Sh., Omirov B., rational fraction, rational functions, integrable. quv q llanmasida